Which linear function has the steepest slope?

a. y=-8x+5
b. y-9=-2(x+1)
c. y=7x-3
d. y=2=6(x+10)

Option A  is correct.

The linear function that has the steepest slope is,

Explanation:

Slope intercept form: The general formula is, where m is the slope and b is the y-intercept.

Option A:

According to slope intercept form:

Slope is -8

Similarly, for

Option B :

Slope is -2

Option C:

Slope is 7

Option D :

Slope is 6

Steepest slope defined as that is closest to being vertical.

This could be a line that is positive or negative slope respectively.

Therefore, the linear function that has the steepest slope is,

The equation has the steepest slope.

Further explanation:

The slope intercept form of a line is as follows:

Here, is the slope of the line.

Step 1:

Compare the equation with slope intercept form of the equation  to obtain the value of .

Thus, the slope of the line is .

Step 2:

The equation can be solved as follows:

Compare the equation with slope intercept form of the equation to obtain the value of .

Thus, the slope of the line is .

Step 3:

Compare the equation with slope intercept form of the equation to obtain the value of .

Thus, the slope of the line is .

Step 4:

The equation can be solved as follows:

Compare the equation with slope intercept form of the equation to obtain the value of .

Thus, the slope of the line is 6.

Steepest slope defined as that is closest to being vertical. This could be a line that is positive or negative slope respectively.

From the above equations, it is observed that the equation has the steepest slope among the all given equation.

Thus, the equation has the steepest slope.

Learn more:  

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

3. what are the domain and range of the function f(x) = 3x + 5?  

Answer Details :  

Grade: High School.  

Subject: Mathematics.  

Chapter: linear equation.  

Keywords:  

Slope intercept form, slope, steeper, steepest, equation, slope intercept form of the line, steeper slope, equation, function, expression, y=mx+c, y=-8x+5, y=7x-3.

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